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Finding the Fourth Proportional to 631,714.82, 871,766.54 and 359,808.02

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Solution

The fourth proportional to 631,714.82, 871,766.54 and 359,808.02 is: 496,535.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,714.82 : 871,766.54 = 359,808.02 : x
  2. Step 2: Convert to fraction form
    631,714.82/871,766.54 = 359,808.02/x
  3. Step 3: Cross multiply
    631,714.82x = 871,766.54 × 359,808.02
  4. Step 4: Simplify right side
    631,714.82x = 313,668,592,659.65
  5. Step 5: Solve for x
    x = 313,668,592,659.65/631,714.82
  6. Step 6: Final answer
    x = 496,535.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.